By K.R. Padiyar

ISBN-10: 1461375770

ISBN-13: 9781461375777

ISBN-10: 1461556333

ISBN-13: 9781461556336

4. 2 research of induction generator influence: frequency scanning strategy eighty three four. three research of torsional interaction(TI) 87 four. four kingdom equations and eigenvalue research ninety six four. five An set of rules for computing torsional modes 108 four. 6 Countermeasures for SSR III four. 7 Torsional oscillations in parallel hooked up turbine turbines one hundred twenty 121 five. INTERACTIONS WITH energy approach STABILIZER five. 1 advent 121 five. 2 uncomplicated notion within the software of PSS 122 five. three layout of PSS 126 five. four Torsional interplay with PSS one hundred thirty five. five A case learn 132 6. INTERACTIONS WITH HVDC CONVERTER keep watch over 137 6. 1 advent 137 6. 2 HVDC converters and keep watch over 138 6. three Modelling of HVDC approach for research of torsional interactions 147 6. four research of torsional interactions -A simplified method 153 6. five A case examine 156 6. 6 A simplified damping torque research 161 6. 7 keep watch over of torsional interplay 167 7. INTERACTIONS WITH SHUNT COMPENSATORS 169 7. 1 creation 169 7. 2 Static Var Compensator 171 7 . three Torsional Interactions with SVC 186 7. four Static Condenser(STATCON) 189 7. five Torsional interactions with STATCON 196 7. 6 A simplified research of torsional interplay with voltage controller 2 hundred eight. INTERACTIONS WITH sequence COMPENSATORS 205 eight. 1 creation 205 eight. 2 Thyristor managed sequence Compensator 206 eight. three Modelling of TCSC for SSR experiences 216 eight. four Mitigation of SSR with TCSC 223 eight. five Static Synchronous sequence Compensator (SSSC) 229 8.

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**Extra info for Analysis of Subsynchronous Resonance in Power Systems**

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S. of Eq. e. 49) The major advantage of a power invariant transformation is that the mutual inductances in the transformed network are reciprocal. For example, Md'J VI, = MkdaJ and M Jd = 2"3 M aJ k d MdJ = MJd = ftMa J For kd = In what follows, we will use a power invariant transformation by selecting the following values kd = /J = k q, ko = If As mentioned earlier, the positive value of kq indicates that q-axis is lagging the direct axis, whereas in the original transformation by Park, q-axis is assumed to lead d-axis.

2. 3 Torque equation It is assumed for the time being that the inertia of the turbines (prime mover) can be clubbed with that of the generator rotor (by assuming the shaft to be rigid). In this case, the equation of motion of the rotor is given by J d2Bm dt 2 + where J D Tm Te is is is is the the the the D dBm = T. _ T. 9) combined moment of inertia of the rotor damping (assumed to be viscous) coefficient mechanical torque in the direction of rotation electrical torque opposing the mechanical torque Note that for a two pole machine, Bm = B.

4 Lkj f:. 64) Remarks = Xdh = Xad with Xad arbitrarily selected as Xad = Xd - xau similarly, Xqg = Xqk = Xaq with Xaq arbitrarily selected as 1. Note that xdf Xaq = Xq - xau 2. The per unit inductances are identical to per unit reactances. 3. In general, Xfh xdf = Xdh = Xde "# Xad. = Xde = Xdh However, Canay (1983) showed that if = Xd - Xc, = xdf where Xc is the per unit characteristic reactance, then Xfh 4. The use of Bfd (instead of vf) is convenient as, in steady state, the open circuit voltage at the terminals of a synchronous machine is Bfd .

### Analysis of Subsynchronous Resonance in Power Systems by K.R. Padiyar

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